258435760 has 40 divisors (see below), whose sum is σ = 655489296. Its totient is φ = 93976320.

The previous prime is 258435757. The next prime is 258435763. The reversal of 258435760 is 67534852.

It is an interprime number because it is at equal distance from previous prime (258435757) and next prime (258435763).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (258435763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145959 + ... + 147718.

Almost surely, 2^258435760 is an apocalyptic number.

258435760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258435760 is an abundant number, since it is smaller than the sum of its proper divisors (397053536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258435760 is a wasteful number, since it uses less digits than its factorization.

258435760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293701 (or 293695 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 258435760 is about 16075.9372977130. The cubic root of 258435760 is about 636.9678840498.

The spelling of 258435760 in words is "two hundred fifty-eight million, four hundred thirty-five thousand, seven hundred sixty".